84264180 has 384 divisors, whose sum is σ = 335978496. Its totient is φ = 15206400.

The previous prime is 84264139. The next prime is 84264181. The reversal of 84264180 is 8146248.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84264181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1381350 + ... + 1381410.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 2^84264180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84264180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

84264180 is an abundant number, since it is smaller than the sum of its proper divisors (251714316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84264180 is a wasteful number, since it uses less digits than its factorization.

84264180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 84264180 is about 9179.5522766636. The cubic root of 84264180 is about 438.4105531074.

The spelling of 84264180 in words is "eighty-four million, two hundred sixty-four thousand, one hundred eighty".